Chapter 1 Review of Whole Numbers and Integers
Section Exercises 1-1, p. 9
1. Twenty-two million, three hundred fifty-six thousand, twenty-seven
3. Seven hundred thirty million, five hundred thirty-one thousand, nine hundred sixty-eight
5. Five hundred twenty-three billion, eight hundred million, seven thousand, one hundred ninety
7. 14,985
9. 17,000,803,075
11. 306,541
13. 8 is in the tens place. 3 is to its right and is less than 5. Leave 8 and replace 3 with zero; 480.
15. 9 is in the ten-thousands place and 8 is 5 or greater. So increase 9 by 1. Since 9 + 1 = 10, we record 0 and carry 1 to the next place to the left. 213. += Replace digits to the right of the ten-thousands place with zeros; 300,000.
17. $4,000,000,000
19. 0 is in the millions place, 3 on the right is less than 5, so leave 0 as it is and replace all digits on its right with zeros; 860,000,000.
21. Negative fifteen thousand, three hundred fourteen dollars
23. Negative eight thousand, six hundred thirty-six dollars
25. $520,000,000
1-2, p. 24
2. One hundred six billion, three hundred fifty-seven million, two hundred ninety-one thousand, five hundred eighty-two
4. Twenty-one million, seventeen
6. Seven hundred thirteen million, two hundred five thousand, five hundred thirty-eight
8. 32,943,608
10. 50,612,078
12. 300,760,512
14. 7 is in the hundreds place. The digit 6 is on the right and is 5 or more. Add 1 to 7 and replace 6 and 2 with zeros; 3,800.
16. 5 is the first digit. 7 is 5 or greater, so add 1 to 5 and replace all digits to its right with zeros; 60,000.
18. $457,025,972,800
20. 1 is in the first place. The digit to the right, 5, is 5 or more, so round up by adding 1 to the 1 in the first place. Replace all digits to the right with zeros; 2,000.
22. Negative eight thousand, four hundred twenty dollars
24. Negative twenty-thousand, one hundred fifty-seven dollars
26. $1,800,000,000
1. 3006007001,600; ++= 1,637 2. 7001,000601,760; ++= 1,710 3. 8001,000501,850; ++= 1,843
39. 922 R256 352324,800
43. 200,000,000500,000199,500,000 −= The sales increase is $199,500,000.
45. ( ) $39,583$23,486$63,069 −+−=−
$200,000,000$500,000400times increase ÷=
$32,871$29,783$3,088 −+=− loss 47. ( ) 291$3$873 ×−=− 48. $63,40812$5,284 −÷=−
49. Number ofreamsinwarehouse1,3581013,580. =×= If 15,000 reams are needed to process all the store orders, she needs to order more paper. 50. ( ) 487$12$5,844 ×−=−
Exercise Set, p. 32
1. $7,000,000,000 2. 20,000
3. 26 4. 5,400 hotels; 495,000 rooms; 70 countries; 20 percent owned by people from underrepresented groups
5. Negative fourteen billion, six hundred seventy-two million dollars 6. Thirty billion, eight hundred sixty million dollars
7. Negative twenty-seven billion, six hundred eighty-four million dollars 8. Negative eight billion, nine hundred twenty-two million dollars
9. 400
11. 8,200
13. 265,472; 2 is in the hundred-thousands place. 6 is to the right and is more than 5. 300,000. 6,316,436; 3 is in the hundred-thousands place. 1 is to the right and is less than 5. 6,300,000.
10. 9,000
12. 350,000
14. 3,899; 3 is in the thousands place. 8 is to the right and is more than 5. $4,000.
15. 2,017; 2 is in the thousands place. 0 is to the right and is less than 5. 2,000 radios.
17. 5,000
19. 20,000,000,000
21. 32,9486,80415,6954157,73963,601 ++++=
23. 46,8677,0837235,20959,882 +++=
25. 21,3354,000 9,000 4,000 5,000 22,000 +
27. 8,7593,000 800
29. 6,288 4,300 600 1,300
31. Mental estimation: 501004050240 +++= 48963650230 +++=⇒ Mary bought 230 items.
33. Mental estimation: 60 + 40 + 100 + 200 + 300700 = 5743104210309723 ++++=⇒
Jorge has 723 cards.
34. 4,07210,000 6,000 4,000
37. 182,902400,000 200,000 200,000
40. 1304288 −=⇒ Sam must order 88 packages.
43. 13211913 −=⇒ Veronica lost 13 pounds.
46. ( ) 1412141226 −−=+=
49. ( ) $35$52$17 +−=−
16. $2,499; 4 is in the hundreds place. 9 is to the right and is more than 5. $2,500.
18. 4,000,000
20. 2,000,000
22. 47385874398741,832 ++++=
24. 72385295238161,825 ++++=
26. 318,93670,000
+
28. 2,612
30. Mental estimation: 909010090708060100680 +++++++= 9287968572845798671 +++++++=⇒ Kiesha had 671 points.
32. Mental estimation: 500 + 500 + 500 + 500 + 500 + 100 + 1002,700 = 483472497486464146872635 ++++++=⇒ The total labor-hours worked was 2,635.
35. 55,63280,000 30,000 50,000
38. 7,31010,000 5,000 5,000
41. 840596244 −=⇒
The number of fan belts to order is 244.
44. ( ) ( ) 322759 −+−=−
47. ( ) 3618 −−−= 361818−+=−
50. ( ) 3721372158 −−=+=
36. 56,539,09080,000,000 30,000,000 50,000,000
39. 74,385100,000 40,000 60,000
42. 1487573 −=⇒ Frieda still has 73 tickets.
45. ( ) $21$47$26 +−=−
48. ( ) 465812 +−=−
51. ( ) 72427242114 −−=+=
52. 5,931
×
64. 285140 ×=⇒
The center requires 140 pieces of fruit.
67. 793988.11111111 ÷=⇒
There are approximately 88 TVs per thousand people.
20176336.1666667 ÷=⇒
There are approximately 336 radios per thousand people.
2$15$30;$30$27$3 ×=−= Two filters can be purchased at a savings of $3.
72. 483,000 3,000483 3161÷=÷=
73,460,000 10,0007,34617,346 ÷=÷= 74. 835,000 5,000835 5167÷=÷=
76. 342012 , 285÷=⇒ The dealer can make 285 packages.
77. 2,03212716 ÷ =⇒ The average hourly wage per employee is $16 per hour.
78. 2382119 ÷=⇒ The stack has 119 countertops. 79. 1532181277 +++= coins
80. ( ) 138$7$966 −=− loss
82. $10,152 4$2,538−÷=− loss
84. 3437342113 −×=−=
86. ( ) ( ) 312536531 −−=−=
88. 63126 7631881+÷=+=
Practice Test, p. 36
81. $69,70812$5,809 ÷= gain
83. 219$3$657 ×= gain
85. ( ) $32$17$579$729$8 −+÷=÷=
87. ( ) $72$38$21$32 3$121 3$363+−+×=×=
89. ( ) ( ) 51118551837 −−=−=
1. five hundred three 2. twelve million, fifty-six thousand, thirty-nine 3. 80,000
4. 600,000 5. 5,017,135,632 6. 17,500,608
7. Twenty-two billion, six hundred ninety-seven million dollars
10. 1000987 300346 70041 , 6
53253227
16. 80 75 R46 504021534021 3 71 311 265 46 ,,
19. 298812249 ÷=⇒ 249 packages can be made.
22. 28256 ×=⇒
565280 ×=⇒ 280 pieces of fruit are required.
8. Eighty-seven billion, four hundred seventy-one million, nine hundred thousand dollars 9. 900863 1000983 300 271 22002 , 1 , 7 ,1 ++
17. 438726431153 ++=⇒ 1,153 items were counted.
4132 , ,0 ××
18. 31215.5 ÷=⇒ Only 15 boxes can be stacked.
20. 432320 −=⇒ 20 pairs of shoes remain in inventory.
23. 16348 ×=⇒ 48 pages are devoted to review.
25. $23,522,400,000$4,313,200,000$19,209,200,000 −=
26. ( ) Lossnegative profit; $34362200000$394900 000 $34362200000$394900000$34757100000 ,,,,, ,,,,,,,, = = +=
21. 6804017 ÷=⇒ She makes $17 per hour.
24. 481137 −=⇒ 37 novels were received.
32. ( ) $68$52$71$329$819$729 +−+×=×=
Critical Thinking, p. 38
1.
4. Answers will vary. 844 4 48doesnot4 8 ÷=
7. Answers will vary. Multiplication ( ) 444445420.
5. Answers will vary. You made purchases of $15 and $18. What is the total of your purchases?
8. Addition and Subtraction
3. Answers will vary. ( ) ( ) 1252725 12521239 −=−= −−=−=
6. Answers will vary. You purchased seven items that cost $23 each. What is the total of your purchases?
The order of operations requires multiplication to be completed before addition or subtraction. 12. 25127 13720 −+=
Addition and subtraction must be completed in the order they occur, working from left to right.
The 5 in the quotient should align above the 1 in the dividend.
Combining Concepts, p. 38
The overall monthly sales were 482 units. The monthly quota of 500 units was not reached. Tyler Brown and Aaron Prete reached their monthly sales goals.
Region Totals$243,637$272,838$181,334
$249,529$947,338
DifferenceGoalActual$1,384,000$947,338
$436,662 =+++ = =−=− =
Daily Sales Totals$287,820$235,152$156,323 $148,570$119,473$947,338
Goal was not reached. =+++ ++
4. Total pounds of candy84252,100 =×=
Number of bags of candy2,1003700
Number of boxes of candy7001258 R4 =÷= =÷=
There are 58 boxes of candy and 4 bags left so 59 boxes will be needed to ship all the candy. Enough bags and boxes are on hand to package.
5. Total length of fencing needed2104840 feet =×=
Number of rolls of fencing needed8405016 R40 =÷=
Because a partial roll of fencing cannot be purchased, 17 rolls are needed.
Cost of 17 rolls of fencing$4917$833
Cost of installing fence$1840$840
Total cost$833$840$1,673
Your bid is the lowest bid and you are likely to get the business.
6. Wages3$1521$945 =××=
Gross profttotalcost of materials cost of labor
Gross proft$1,673$833$945$105
7. 12275521115 gallons; yes, 100 gallons of fuel +++= can be stored in these containers.
8. $75$454($10)$75$45$40$160; ++=++= $160$7$153 −=
Case Studies
1-1, p. 41
1. Daily Pass: 250 days$6$1,500 ×= Monthly Pass: 12months$105$1,260 ×= $1,500$1,260 = $240
2. Daily Mileage: 220miles40miles ×= 40miles1gallon of gasoline per day $4 = = Annual Fuel Cost: $4250days$1,000 ×= Parking Cost: $12050weeks$6,000 ×= Cost to Drive to Work: $1,000$6,000$7,000 +=
3. Position 1 is $70,000 per year; $70,000$1,260(annual cost of bus)$68,740−= Position 2 is $67,000 per year; $67,000$2,000(wellness bonus)$69,000+= Position 2 is the better option
1-2, p. 42
1. 2 45 ft20 ft2 sides1,800 ft ××= 2 1,800 ft10018 ÷ = roofing squares For the roof, 2 1,800 ft of roofing is required, which is 18 roofing squares.
2. 18 squares4 bundles72 bundles ×= 18 squares 36÷= rolls of roofing felt 4 72 bundles$42 per bundle $3,02 ×= total shingle cost 6 rolls$27 per roll$162×= total roofing felt cost For the roof, 72 bundles of shingles are needed at a cost of $3,024 Also, 6 rolls of felt are needed at a cost of $162
3. 18 squares3 squares6 boxes; 6 boxes$15 $90 nail cost ÷=× = 17 drip edge pieces$6 per$102 total drip edge cost ×= ( ) 20 ft20 ft45 ft85 ft per side of drip edge ++= Total cost$3,024 + $162 + $90 + $102 = $3,378 = 85 ft2 sides170 ft; 170 ft10 ft length17 pieces ×=÷= 6 boxes of roofing nails are needed at a cost of $90; 17 lengths of drip edge are needed at a cost of $102. The material costs for the entire roof are $3,378.
1-3, p. 42
1. 1507525250 people
$100,000 250$400 ++= ÷=
2. $40010$40 ÷=
3. ( ) ( ) ( ) ( ) First shift: 100$4010 months$40,000;25$100$2,500; 15$50$750; = = = ( ) ( ) 10$2010$2,000; $40,000$2,500$750$2,000$45,250 total =+++= ( ) ( ) ( ) ( ) Second shift:25$150$3,750;25$4010$10,000;25$35$875 = = = $3,750$10,000$875$14,625total ++= ( ) ( ) Third shift:25$8010$20,000total =
4. No, she is short $20,125. $45,250$14,625$20,000$79,875; $100,000$79,875$20,125++=−=
5. ( ) $79,8752$159,750 = company contribution $79,875$159,750$239,625 += total contribution